https://doi.org/10.1140/epjp/i2017-11569-6
Regular Article
Exact solutions for a class of quasi-exactly solvable models: A unified treatment
Department of Science, University of Kurdistan, Sanandaj, Iran
* e-mail: neda.hataminasar@gmail.com
Received:
15
February
2017
Accepted:
24
May
2017
Published online:
18
July
2017
The exact solution of the Schrödinger equation for the four quasi-exactly solvable potentials is presented using the functional Bethe ansatz method. It is shown that all models give rise to the same basic differential equation which is quasi-exactly solvable. The eigenvalues, eigenfunctions and the allowed potential parameters are given for each of the four models in terms of the roots of a set of algebraic Bethe ansatz equations.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, 2017
